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VikaD [51]
3 years ago
11

P − 4.8 less than or = to 6.

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
7 0
-4.8 is lesson than 6 because if you were to look at a number line from -5 to positive 10 then -4.8 would be on the left and 6 would be on the right of the number line and the more left you get, the smaller the number.

Hope this helps! ;)
docker41 [41]3 years ago
4 0
-4.8 is less than 6

if its just regular 4.8 ( not negative, it'd still be less than )

[If the six is negative than it would be greater than.]

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Answer:

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Express into partial fractions 3x³ - 5x² - 3x - 40/( x² + 4)(x - 3)​
Fudgin [204]

First simplify the rational expression by dividing. The degree in the numerator has to be at least 1 less than the degree in the denominator before you can decompose into partial fractions.

(3<em>x</em>³ - 5<em>x</em>² - 3<em>x</em> - 40) / ((<em>x</em>² + 4) (<em>x</em> - 3)) = 3 + (4<em>x</em>² - 15<em>x</em> - 4) / ((<em>x</em>² + 4) (<em>x</em> - 3))

Now decompose the remainder term into partial fractions:

(4<em>x</em>² - 15<em>x</em> - 4) / ((<em>x</em>² + 4) (<em>x</em> - 3)) = (<em>ax</em> + <em>b</em>) / (<em>x</em>² + 4) + <em>c</em> / (<em>x</em> - 3)

Multiply both sides by the denominator on the left:

4<em>x</em>² - 15<em>x</em> - 4 = (<em>ax</em> + <em>b</em>) (<em>x</em> - 3) + <em>c</em> (<em>x</em>² + 4)

Expand the right side:

4<em>x</em>² - 15<em>x</em> - 4 = <em>ax</em>² + (<em>b</em> - 3<em>a</em>) <em>x</em> - 3<em>b</em> + <em>cx</em>² + 4<em>c</em>

4<em>x</em>² - 15<em>x</em> - 4 = (<em>a</em> + <em>c</em>) <em>x</em>² + (<em>b</em> - 3<em>a</em>) <em>x</em> - 3<em>b</em> + 4<em>c</em>

Then

<em>a</em> + <em>c</em> = 4

<em>b</em> - 3<em>a</em> = -15

-3<em>b</em> + 4<em>c</em> = -4

Solve this system to get

<em>a</em> = 5, <em>b</em> = 0, <em>c</em> = -1

We end up with

(4<em>x</em>² - 15<em>x</em> - 4) / ((<em>x</em>² + 4) (<em>x</em> - 3)) = 5<em>x</em> / (<em>x</em>² + 4) - 1 / (<em>x</em> - 3)

and so

(3<em>x</em>³ - 5<em>x</em>² - 3<em>x</em> - 40) / ((<em>x</em>² + 4) (<em>x</em> - 3))

= 3 + 5<em>x</em> / (<em>x</em>² + 4) - 1 / (<em>x</em> - 3)

8 0
3 years ago
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Colt1911 [192]
M∠A′B′C′ = m∠ABC would be the answer for this. if you could give me a pic, I could answer. I don't see Triangle ABC

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3 years ago
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Given that 35.8 x 4.23= 151.434<br>write down a division sum with an answer of 423.​
Nina [5.8K]

Answer:

  151434/358 = 423

Step-by-step explanation:

Every product with non-zero factors can be written as an equivalent division relation.

  a·b = c   ⇒   a = c/b

Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...

  4.23 = 151.434/35.8

We can multiply this by 100 to get a division relation with a quotient of 423:

  423 = 15143.4/35.8

If we want, we can move the decimal points another place to the right to get ...

  151434/358 = 423

7 0
2 years ago
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